A367762 Numerator of the greatest probability that a particular free polyomino with n cells appears in the Eden growth model (see A367760).

1, 1, 2, 1, 2, 107, 70037, 813359, 1523168309, 1248684827, 26754412658849, 21916760758464961, 967387787846413936477, 271537923398149191011927

Offset

1,3

Comments

a(n) is the numerator of the maximum of A367760/A367761 over the n-th row.

Links

Table of n, a(n) for n=1..14.

Index entries for sequences related to polyominoes.

Example

For 1 <= n <= 14, the following are all polyominoes that have the maximum probabilities for their respective sizes. Except for n = 7, there is just one such polyomino.
                    _      _      _
        _    _     | |    | |_   | |_ _
   _   | |  | |_   | |_   |   |  |    _|
  |_|  |_|  |_ _|  |_ _|  |_ _|  |_ _|
            _                 _      _
   _ _     | |_    _ _      _| |_   | |_ _
  |   |    |   |  |   |_   |     |  |     |
  |   |_   |   |  |     |  |    _|  |     |
  |_ _ _|  |_ _|  |_ _ _|  |_ _|    |_ _ _|
   _ _        _ _      _ _ _      _ _ _
  |   |_    _|   |    |     |    |     |
  |     |  |     |_   |     |_   |     |_
  |     |  |      _|  |      _|  |       |
  |_ _ _|  |_ _ _|    |_ _ _|    |_ _ _ _|

Crossrefs

Cf. A367673, A367760, A367761, A367763 (denominators), A367766.

Sequence in context: A010249 A228005 A177438 * A002431 A259328 A202034

Adjacent sequences: A367759 A367760 A367761 * A367763 A367764 A367765

Keyword

nonn,frac,more

Author

Pontus von Brömssen, Dec 02 2023

Status

approved